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From λ to π; or, Rediscovering continuations

Published online by Cambridge University Press:  01 August 1999

INRIA-Sophia Antipolis, 2004 Rue des Lucioles, B.P. 93, 06902 Sophia Antipolis, France. Email:


We study the relationship between the encodings of the λ-calculus into π-calculus, the Continuation Passing Style (CPS) transforms, and the compilation of the Higher-Order π-calculus (HOπ) into π-calculus. We factorise the π-calculus encodings of (untyped as well as simply-typed) call-by-name and call-by-value λ-calculus into three steps: a CPS transform, the inclusion of CPS terms into HOπ and the compilation from HOπ to π-calculus. The factorisations are used both to derive the encodings and to prove their correctness.

Research Article
© 1999 Cambridge University Press

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